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Finding the Fourth Proportional to 2,067.92, 2,852.52 and 1,396.88

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Solution

The fourth proportional to 2,067.92, 2,852.52 and 1,396.88 is: 1,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.92 : 2,852.52 = 1,396.88 : x
  2. Step 2: Convert to fraction form
    2,067.92/2,852.52 = 1,396.88/x
  3. Step 3: Cross multiply
    2,067.92x = 2,852.52 × 1,396.88
  4. Step 4: Simplify right side
    2,067.92x = 3,984,628.14
  5. Step 5: Solve for x
    x = 3,984,628.14/2,067.92
  6. Step 6: Final answer
    x = 1,926.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.